86255290368 has 960 divisors, whose sum is σ = 303671047680. Its totient is φ = 24174526464.

The previous prime is 86255290357. The next prime is 86255290399. The reversal of 86255290368 is 86309255268.

86255290368 is a `hidden beast` number, since 8 + 6 + 255 + 29 + 0 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1835218921 + ... + 1835218967.

It is an arithmetic number, because the mean of its divisors is an integer number (316324008).

Almost surely, 2^86255290368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86255290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151835523840).

86255290368 is an abundant number, since it is smaller than the sum of its proper divisors (217415757312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86255290368 is a wasteful number, since it uses less digits than its factorization.

86255290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86255290368 in words is "eighty-six billion, two hundred fifty-five million, two hundred ninety thousand, three hundred sixty-eight".